5x-(x+6)+10=2x+12-2x

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Solution for 5x-(x+6)+10=2x+12-2x equation: 


Simplifying
5x + -1(x + 6) + 10 = 2x + 12 + -2x

Reorder the terms:
5x + -1(6 + x) + 10 = 2x + 12 + -2x
5x + (6 * -1 + x * -1) + 10 = 2x + 12 + -2x
5x + (-6 + -1x) + 10 = 2x + 12 + -2x

Reorder the terms:
-6 + 10 + 5x + -1x = 2x + 12 + -2x

Combine like terms: -6 + 10 = 4
4 + 5x + -1x = 2x + 12 + -2x

Combine like terms: 5x + -1x = 4x
4 + 4x = 2x + 12 + -2x

Reorder the terms:
4 + 4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 4x = 12 + 0
4 + 4x = 12

Solving
4 + 4x = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 4x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 12 + -4
4x = 12 + -4

Combine like terms: 12 + -4 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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